If $$E($$θ$$)=cos2$$⁡θ$$cos$$⁡θ$$sin$$⁡θ$$cos$$⁡θ$$sin$$⁡θ$$sin2$$⁡θ and θ and ϕ differ by an odd multiple of π$$2$$, then E $$($$θ$$)$$ E $$($$ϕ$$)$$ is a

Question

If $$E($$θ$$)=cos2$$⁡θ$$cos$$⁡θ$$sin$$⁡θ$$cos$$⁡θ$$sin$$⁡θ$$sin2$$⁡θ and θ and ϕ differ by an odd multiple of π$$2$$, then E $$($$θ$$)$$ E $$($$ϕ$$)$$ is a

Infinity Learn · Accepted Answer

$$E($$θ$$)=cos2$$⁡θ$$cos$$⁡θ$$sin$$⁡θ$$cos$$⁡θ$$sin$$⁡θ$$sin2$$⁡θ  θ$$-$$ϕ$$=$$π$$2$$⇒θ$$=$$π$$2+$$ϕ Eϕ$$=sin2$$ϕ$$-$$$$cos$$ϕ$$sin$$ϕ$$-$$$$cos$$ϕ$$sin$$ϕ$$cos2$$ϕ $$E($$θ$$)E($$ϕ$$)=cos2$$θ$$cos$$θ$$sin$$θ$$cos$$θ$$sin$$θ$$sin2$$θ$$sin2$$ϕ$$-$$$$cos$$ϕ$$sin$$ϕ$$-$$$$cos$$ϕ$$sin$$ϕ$$cos2$$ϕ                  $$=cos2$$θ$$sin2$$ϕ$$-cos2$$θ$$sin2$$ϕ$$-cos2$$θ$$sin2$$ϕ$$+cos2$$θ$$sin2$$ϕ$$cos2$$θ$$sin2$$ϕ$$-cos2$$θ$$sin2$$ϕ$$-cos2$$θ$$sin2$$ϕ$$+cos2$$θ$$sin2$$ϕ                   $$=0000$$

If $E (θ) = [\begin{array}{cc} \cos^{2} θ & \cos θsin θ \\ \cos θsin θ & \sin^{2} θ \end{array}]$ and $θ$ and $ϕ$ differ by an odd multiple of $\frac{π}{2}$ , then E ( $θ$ ) E ( $ϕ$ ) is a

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If E(θ)=cos2⁡θcos⁡θsin⁡θcos⁡θsin⁡θsin2⁡θ and θ and ϕ differ by an odd multiple of π2, then E (θ) E (ϕ) is a

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If $E (θ) = [\begin{array}{cc} \cos^{2} θ & \cos θsin θ \\ \cos θsin θ & \sin^{2} θ \end{array}]$ and $θ$ and $ϕ$ differ by an odd multiple of $\frac{π}{2}$ , then E ( $θ$ ) E ( $ϕ$ ) is a